103212311042000 has 80 divisors (see below), whose sum is σ = 251009954883792. Its totient is φ = 41046283097600.

The previous prime is 103212311041991. The next prime is 103212311042017. The reversal of 103212311042000 is 240113212301.

It can be written as a sum of positive squares in 8 ways, for example, as 34400242589584 + 68812068452416 = 5865172^2 + 8295304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148804739 + ... + 149496738.

Almost surely, 2^{103212311042000} is an apocalyptic number.

103212311042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103212311042000 is an abundant number, since it is smaller than the sum of its proper divisors (147797643841792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103212311042000 is a wasteful number, since it uses less digits than its factorization.

103212311042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298301673 (or 298301657 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 103212311042000 its reverse (240113212301), we get a palindrome (103452424254301).

The spelling of 103212311042000 in words is "one hundred three trillion, two hundred twelve billion, three hundred eleven million, forty-two thousand".